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M3P2
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Commits
5bd92335
Commit
5bd92335
authored
Feb 03, 2021
by
Claude Meny
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Update annex.fr.md
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annex.fr.md
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00.brainstorming-pedagogical-teams/45.synthesis-structuring/instructions-for-levels/30.beyond/annex.fr.md
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5bd92335
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@@ -183,7 +183,8 @@ Sont proposées les catégories suivantes, mais à débattre, toutes les idées
! * The first spherical refracting surface $`
DS1
`$ encountered by the light has
! the follwing characteristics :<br>
! $`
\o
verline{S_1C_1}=+|R|=+5
\;
cm
`$ , $`
n_{ini}=1
`$ and $`
n_{fin}=1.5
`$
! * The second spherical refracting surface $DS2$ encountered by the light has the follwing characteristics :<br>
! * The second spherical refracting surface $DS2$ encountered by the light
! has the follwing characteristics :<br>
! $`
\o
verline{S_2C_2}=-|R|=-5
\;
cm
`$ , $`
n_{ini}=1.5
`$ and $`
n_{fin}=1
`$
!
! * Algebraic distance between $DS1$ and $DS2$ is : $`
\o
verline{S_1S_2}=+10
\;
cm
`$
...
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@@ -451,25 +452,25 @@ Sont proposées les catégories suivantes, mais à débattre, toutes les idées
!<summary>
! What is the apparent magnification of the cathedral ?
!</summary>
!
!
<br>
! * "apparent magnification" = "angular magnification" = "magnifying power".
!
! * As calculated previously, standing 400 metres from the cathedral, the 90 m heigh
! cathedral sustends the apparent angles of $`
\a
lpha=arctan
\l
eft(
\d
frac{90}{400}
\r
ight)=0.221
\;
rad=12.7°
`$
! at your eye.
!
!
<br>
! * The image of the cathedral is 1.7 cm heigth and is located between the lens
! (from its vertex $`
S2
`$) and your eyes and at 2.5cm from the lens. If your eye is
! 20cm away from the lens, so the distance eye-image is 17.5 cm (we use no algebraic values).
! Thus the image of the catedral subtends the apparent angle
! $`
\a
lpha'=arctan
\l
eft(
\d
frac{1.7}{17.5}
\r
ight)=0.097
\;
rad=5.6°
`$ at your eye.
!
!
<br>
! * The apparent magnification $`
M_A
`$ of the cathedral throught the lensball for my
! eye in that position is<br>
! $`
M_A=
\d
frac{
\a
lpha'}{
\a
lpha}=
\d
frac{0.097}{0.221}=0.44
`$.<br><br>
! Taking into account that the image is reversed, the algebraic value of the apparent
! magnification is $`
\o
verline{M_A}=-0.44
`$.
!
!
<br>
! * You could obtained directly this algebraic value of $`
M_A
`$ by considering algebraic
! lengthes and angles values in the calculations :<br><br>
! $`
\o
verline{M_A}=
\d
frac{
\o
verline{
\a
lpha'}}{
\o
verline{
\a
lpha}}
`$
...
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